If you're looking for anime similar to Danchigai, you might like these titles.
Meet the Minami sisters, three girls living on their own and doing their best to make it through life's little snags and adventures. Kana, the middle sister, has far more energy than common sense; Chiaki, the youngest, is more reserved, but her sharp tongue and devious mind often cause trouble for others; and Haruka, the eldest, acts like a mother to the other two, is beautiful and kind, but has a fearsome stern streak. Together, no obstacle can stand in their way, be it school, romance, or even cooking.
Both series follow the daily lives of a group of siblings and also have a very similar sense of humor based on random antics. The only difference between them in the lenght of the episodes, so if you liked Danchigai and you want something similar but longer then give Minami-ke a try, but if you liked Minami-ke and you want something shorter then Danchigai is for you
Both of these shows are slice of life-y things with comedy and they both focus on something that resembles a family setting.
Danchigai is a short series (12 eps á 4 minutes) while Minami-ke is a series with standard length episodes.
College student Yuta Segawa is suddenly given custody of his older sister's three daughters, aged 14, 10, and 3. They're now stuck living together in a 10 square meter apartment. Meanwhile Raika, the object of his affection, has a fondness of cuteness, and his unexpected arrivals may finally offer an opportunity for them to get together.
Both of these anime center around the young siblings of a close family and their home. They're mostly slice of life with some comedy springkled throughout, but they also randomly include brief moments of fanservice and minor references to incest (Danchigai is more moe/tame by comparison, however). If you enjoyed one, there's little doubt you wouldn't like the other.
Both of these shows focus on family life (one in a bit more normal setting than the other) and sibling love.
Papa no Iu Koto o Kikinasai! is a bit more serious and focuses on other things than just comedy (which is basically the only thing that Danchigai did).
Keitaro Urashima is somewhat of a failure. In order to fulfill a promise he made to a girl fifteen years ago, he has tried time and again to get into Tokyo U but has never managed to pass the exam. However, fate smiles upon him and he ends up working for his aunt, managing an all-girls dorm! Living with the feral Kaolla, the timid Shinobu, the sake-loving Mitsune, the blade mistress Motoko and the punch-happy Naru, can Keitaro keep his focus and keep his promise? And will he ever end up meeting that girl from his past?
Danchigai and Love Hina are similar with their harem-like tropes. They have one average male protagonist and a group of girls who "like" him in different ways. They both have a main male who accidently sees/touches/says something sexual by accident and gets punished by at least one of the other girls. The big difference is in Danchigai, all the girls are his sisters, but luckily there is little ecchi and a lot of Danchigai doesn't include the exaggerated harem tropes.
Akane, a princess with the power to control gravity, competes against her eight super powered siblings for a spot on the throne. The catch? Each would-be ruler will be monitored 24/7 by hundreds of video cameras that broadcast their every move nationwide. As the royal siblings live their lives, their subjects will watch and eventually vote for a winner. But with privacy out the window, will the camera-shy Akane be able to keep her cool?
-Both have a older brother that goes out of his way to look out for his spunky sisters. -both funny and dramatic
-Both have ironic fears they have to deal with everyday and ideas for the furture.
if you like Danchigai you will like Joukamachi no Dandelion as well for it gives the same feeling.
Tomoya’s father remarries to another woman, giving him a stepsister, Ichika. However Ichika is 17-years old and has completely fallen in love with her stepbrother who is only 13!
As siblings go, Atsumi and Atsushi are anything but typical. High schooler Atsumi is exceptionally small for her age, and elementary schooler Atsushi is abnormally tall with a deep voice, leading to misunderstandings on both sides! Whether Moriyama-sensei gets embarassed by Atsushi's every move, or Atsumi is offered candy meant for children, or poor Atsushi is arrested for being a perv that’s trying to snatch kids on their way to class, this brother and sister duo is bound to have an eventful day-to-day life!
Atsushi and Atsumi are back for more misunderstandings and eventful school days! Atsushi can’t help but continue to get arrested for hanging out with young Hina, Sayo finally learns the truth about Atsumi’s brother’s age and struggles with her feelings for him, the siblings and their parents visit a hot springs resort, and everybody has a good time at a family relay race. Even with their differing sizes, the two always manage to have fun from day to day.
It’s a new year, but little has changed for the Minami household. Chiaki has been given the job of nutritionist for her class's new hamster, and uses the same techniques to care for it that she learned while studying Kanna; Haruka is still suffering from the greatly-exaggerated rumors that she was once a mob boss back in her middle school; and Kanna is as hyperactive as ever, always forcing her friends into awkward situations (including cross-dressing, litter picking and forming an army)! But despite their troubles, the three sisters stick together and always manage to have fun!